310-2112/02 – Mathematics II (MII)

Gurantor departmentDepartment of Mathematics and Descriptive GeometryCredits4
Subject guarantorIng. Petra Schreiberová, Ph.D.Subject version guarantorIng. Petra Schreiberová, Ph.D.
Study levelundergraduate or graduateRequirementCompulsory
Year1Semestersummer
Study languageCzech
Year of introduction2019/2020Year of cancellation
Intended for the facultiesFSIntended for study typesBachelor
Instruction secured by
LoginNameTuitorTeacher giving lectures
KOT31 RNDr. Jan Kotůlek, Ph.D.
LAM0028 RNDr. Alžběta Lampartová
MUL0086 RNDr. PhDr. Ivo Müller, Ph.D.
RIE0053 Mgr. Tomáš Riemel
SKN002 Ing. Petra Schreiberová, Ph.D.
SWA0013 RNDr. Martin Swaczyna, Ph.D.
Extent of instruction for forms of study
Form of studyWay of compl.Extent
Full-time Credit and Examination 2+2
Part-time Credit and Examination 11+0

Subject aims expressed by acquired skills and competences

Mathematics is essential part of education on technical universities. It should be considered rather the method in the study of technical courses than a goal. Thus the goal of mathematics is train logical reasoning than mere list of mathematical notions, algorithms and methods.

Teaching methods

Lectures
Individual consultations
Tutorials
Other activities

Summary

Integral calculus of function of one real variable: the indefinite and definite integrals, properties of the indefinite and definite integrals, application in the geometry and physics. Differential calculus of functions of several independent variables. Ordinary differential equations of the first and the second order.

Compulsory literature:

Kreml, P.: Mathematics II, VŠB – TUO, Ostrava 2005, ISBN 80-248-0798-X

Recommended literature:

James, G.: Modern Engineering Mathematics. Addison-Wesley, 1992. ISBN 0-201-1805456

Way of continuous check of knowledge in the course of semester

Course-credit -pass the written tests, Point classification: 15-35 points. Exam Practical part of an exam is classified by 0 - 55 points. Practical part is successful if student obtains at least 20 points. Theoretical part of the exam is classified by 0 - 10 points. Theoretical part is successful if student obtains at least 5 points. Point quantification in the interval 100 - 91 90 - 81 80 - 71 70 - 61 60 - 51 50 - 0 ECTS grade A B C D E F Point quantification in the interval 100 - 86 85 - 66 65 - 51 51 - 0 National grading scheme excellent very good satisfactory failed

E-learning

http://mdg.vsb.cz/portal/m2/index.php

Other requirements

more requierements are not

Prerequisities

Subject codeAbbreviationTitleRequirement
310-2117 M1 Mathematics 1 Compulsory

Co-requisities

Subject has no co-requisities.

Subject syllabus:

1 Integral calculus of functions of one variable. Antiderivatives and indefinite integral. Integration of elementary functions. 2 Integration by substitutions, integration by parts. 3 Integration of rational functions. 4 Definite integral and methods of integration. 5 Geometric application of definite integrals. 6 Differential calculus of functions of two or more real variables. Functions of two or more variables, graph, 7 Partial derivatives of the 1-st and higher order. 8 Total differential of functions of two variables, tangent plane and normal to a surface, extrema of functions. 9 Ordinary differential equations. General, particular and singular solutions. Separable homogeneous equations. 10 Homogeneous equations. Linear differential equations of the first order, method of variation of arbitrary constant. 11 2nd order linear differential equations with constant coefficients, linearly independent solutions, Wronskian,fundamental system of solutions. 12 2nd order LDE with constant coefficients - method of variation of arbitrary constants. 13 2nd order LDE with constant coefficients - method of undetermined coefficients.

Conditions for subject completion

Full-time form (validity from: 2019/2020 Winter semester, validity until: 2022/2023 Summer semester)
Task nameType of taskMax. number of points
(act. for subtasks)
Min. number of pointsMax. počet pokusů
Credit and Examination Credit and Examination 100 (100) 51
        Credit Credit 20  5
        Examination Examination 80 (80) 30 3
                Praktická část Written examination 60  25
                Teoretická část Written examination 20  5
Mandatory attendence participation: - participation is mandatory for every credit test

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Conditions for subject completion and attendance at the exercises within ISP: In order to complete the credit, students pass the credit test. On the basis of a successfully completed credit, they can take an exam.

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Occurrence in study plans

Academic yearProgrammeBranch/spec.Spec.ZaměřeníFormStudy language Tut. centreYearWSType of duty
2024/2025 (B0715A040001) Transport Systems and Equipment P Czech Ostrava 1 Compulsory study plan
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2024/2025 (B0715A270011) Engineering P Czech Šumperk 1 Compulsory study plan
2024/2025 (B0715A270011) Engineering K Czech Uherský Brod 1 Compulsory study plan
2024/2025 (B0715A270011) Engineering K Czech Šumperk 1 Compulsory study plan
2024/2025 (B0715A270011) Engineering P Czech Ostrava 1 Compulsory study plan
2024/2025 (B0715A270011) Engineering K Czech Ostrava 1 Compulsory study plan
2024/2025 (B1088A040001) Operation and management of air transport (S01) Air Transport Technology and Management P Czech Ostrava 1 Compulsory study plan
2024/2025 (B1088A040001) Operation and management of air transport (S02) Aviation Operation Management P Czech Ostrava 1 Compulsory study plan
2024/2025 (B1041FS0018) Intelligent transport and logistics P Czech Ostrava 1 Compulsory study plan
2023/2024 (B0713A070002) Energetics and Environments K Czech Ostrava 1 Compulsory study plan
2023/2024 (B0713A070002) Energetics and Environments P Czech Ostrava 1 Compulsory study plan
2023/2024 (B0715A040001) Transport Systems and Equipment P Czech Ostrava 1 Compulsory study plan
2023/2024 (B0715A040001) Transport Systems and Equipment K Czech Ostrava 1 Compulsory study plan
2023/2024 (B0715A270011) Engineering P Czech Ostrava 1 Compulsory study plan
2023/2024 (B0715A270011) Engineering K Czech Ostrava 1 Compulsory study plan
2023/2024 (B0715A270011) Engineering P Czech Šumperk 1 Compulsory study plan
2023/2024 (B0715A270011) Engineering K Czech Šumperk 1 Compulsory study plan
2023/2024 (B0715A270011) Engineering K Czech Uherský Brod 1 Compulsory study plan
2023/2024 (B1088A040001) Operation and management of air transport (S02) Aviation Operation Management P Czech Ostrava 1 Compulsory study plan
2023/2024 (B1088A040001) Operation and management of air transport (S01) Air Transport Technology and Management P Czech Ostrava 1 Compulsory study plan
2022/2023 (B0715A040001) Transport Systems and Equipment K Czech Ostrava 1 Compulsory study plan
2022/2023 (B0715A040001) Transport Systems and Equipment P Czech Ostrava 1 Compulsory study plan
2022/2023 (B0713A070002) Energetics and Environments P Czech Ostrava 1 Compulsory study plan
2022/2023 (B0713A070002) Energetics and Environments K Czech Ostrava 1 Compulsory study plan
2022/2023 (B0715A270011) Engineering P Czech Ostrava 1 Compulsory study plan
2022/2023 (B0715A270011) Engineering K Czech Ostrava 1 Compulsory study plan
2022/2023 (B0715A270011) Engineering P Czech Šumperk 1 Compulsory study plan
2022/2023 (B0715A270011) Engineering K Czech Šumperk 1 Compulsory study plan
2022/2023 (B3712) Air Transport Technology (3708R037) Aircraft Operation Technology P Czech Ostrava 1 Compulsory study plan
2022/2023 (B3712) Air Transport Technology (3708R038) Aircraft Maintenance Technology P Czech Ostrava 1 Compulsory study plan
2022/2023 (B0715A270011) Engineering K Czech Uherský Brod 1 Compulsory study plan
2022/2023 (B1088A040001) Operation and management of air transport (S01) Air Transport Technology and Management P Czech Ostrava 1 Compulsory study plan
2022/2023 (B1088A040001) Operation and management of air transport (S02) Aviation Operation Management P Czech Ostrava 1 Compulsory study plan
2021/2022 (B0715A270011) Engineering K Czech Ostrava 1 Compulsory study plan
2021/2022 (B0715A270011) Engineering K Czech Uherský Brod 1 Compulsory study plan
2021/2022 (B0715A270011) Engineering P Czech Ostrava 1 Compulsory study plan
2021/2022 (B0715A270011) Engineering P Czech Šumperk 1 Compulsory study plan
2021/2022 (B0715A270011) Engineering K Czech Šumperk 1 Compulsory study plan
2021/2022 (B0713A070002) Energetics and Environments K Czech Ostrava 1 Compulsory study plan
2021/2022 (B0713A070002) Energetics and Environments P Czech Ostrava 1 Compulsory study plan
2021/2022 (B0715A040001) Transport Systems and Equipment P Czech Ostrava 1 Compulsory study plan
2021/2022 (B0715A040001) Transport Systems and Equipment K Czech Ostrava 1 Compulsory study plan
2021/2022 (B3712) Air Transport Technology (3708R037) Aircraft Operation Technology P Czech Ostrava 1 Compulsory study plan
2021/2022 (B3712) Air Transport Technology (3708R038) Aircraft Maintenance Technology P Czech Ostrava 1 Compulsory study plan
2020/2021 (B0715A270011) Engineering P Czech Ostrava 1 Compulsory study plan
2020/2021 (B0715A270011) Engineering K Czech Ostrava 1 Compulsory study plan
2020/2021 (B0715A270011) Engineering K Czech Šumperk 1 Compulsory study plan
2020/2021 (B0715A270011) Engineering K Czech Uherský Brod 1 Compulsory study plan
2020/2021 (B0715A270011) Engineering P Czech Šumperk 1 Compulsory study plan
2020/2021 (B0713A070002) Energetics and Environments K Czech Ostrava 1 Compulsory study plan
2020/2021 (B0713A070002) Energetics and Environments P Czech Ostrava 1 Compulsory study plan
2020/2021 (B0715A040001) Transport Systems and Equipment P Czech Ostrava 1 Compulsory study plan
2020/2021 (B0715A040001) Transport Systems and Equipment K Czech Ostrava 1 Compulsory study plan
2020/2021 (B3712) Air Transport Technology (3708R037) Aircraft Operation Technology P Czech Ostrava 1 Compulsory study plan
2020/2021 (B3712) Air Transport Technology (3708R038) Aircraft Maintenance Technology P Czech Ostrava 1 Compulsory study plan
2019/2020 (B2341) Engineering P Czech Ostrava 1 Compulsory study plan
2019/2020 (B2341) Engineering P Czech Šumperk 1 Compulsory study plan
2019/2020 (B3712) Air Transport Technology (3708R037) Aircraft Operation Technology P Czech Ostrava 1 Compulsory study plan
2019/2020 (B3712) Air Transport Technology (3708R038) Aircraft Maintenance Technology P Czech Ostrava 1 Compulsory study plan
2019/2020 (B0713A070002) Energetics and Environments P Czech Ostrava 1 Compulsory study plan
2019/2020 (B0715A040001) Transport Systems and Equipment P Czech Ostrava 1 Compulsory study plan
2019/2020 (B0715A270011) Engineering P Czech Ostrava 1 Compulsory study plan
2019/2020 (B0715A270011) Engineering K Czech Ostrava 1 Compulsory study plan
2019/2020 (B0715A270011) Engineering P Czech Šumperk 1 Compulsory study plan
2019/2020 (B0715A270011) Engineering K Czech Šumperk 1 Compulsory study plan
2019/2020 (B0715A270011) Engineering K Czech Uherský Brod 1 Compulsory study plan
2019/2020 (B0713A070002) Energetics and Environments K Czech Ostrava 1 Compulsory study plan
2019/2020 (B0715A040001) Transport Systems and Equipment K Czech Ostrava 1 Compulsory study plan

Occurrence in special blocks

Block nameAcademic yearForm of studyStudy language YearWSType of blockBlock owner
Subject block without study plan - FS - P - cs 2020/2021 Full-time Czech Optional FS - Faculty of Mechanical Engineering stu. block

Assessment of instruction



2022/2023 Summer
2021/2022 Summer
2020/2021 Summer
2019/2020 Summer